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Finding the Third Proportional to 834,875 and 1,268,242

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Solution

The third proportional to 834,875 and 1,268,242 is: 1,926,561.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,875 : 1,268,242 = 1,268,242 : x
  2. Step 2: Convert to fraction form
    834,875/1,268,242 = 1,268,242/x
  3. Step 3: Cross multiply
    834,875x = 1,268,242 × 1,268,242
  4. Step 4: Simplify right side
    834,875x = 1,608,437,770,564
  5. Step 5: Solve for x
    x = 1,608,437,770,564/834,875
  6. Step 6: Final answer
    x = 1,926,561.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.